4297385610144 has 288 divisors, whose sum is σ = 14120314528320. Its totient is φ = 1225250611200.

The previous prime is 4297385610113. The next prime is 4297385610149. The reversal of 4297385610144 is 4410165837924.

4297385610144 is a `hidden beast` number, since 4 + 2 + 9 + 7 + 3 + 8 + 5 + 610 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (4297385610149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201356914 + ... + 201378254.

It is an arithmetic number, because the mean of its divisors is an integer number (49028869890).

It is a 1-persistent number, because it is pandigital, but 2⋅4297385610144 = 8594771220288 is not.

Almost surely, 2^{4297385610144} is an apocalyptic number.

4297385610144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4297385610144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7060157264160).

4297385610144 is an abundant number, since it is smaller than the sum of its proper divisors (9822928918176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4297385610144 is a wasteful number, since it uses less digits than its factorization.

4297385610144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25124 (or 25113 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4297385610144 in words is "four trillion, two hundred ninety-seven billion, three hundred eighty-five million, six hundred ten thousand, one hundred forty-four".